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Activity Number:
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52
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Type:
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Topic Contributed
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Date/Time:
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Sunday, July 29, 2007 : 4:00 PM to 5:50 PM
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Sponsor:
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Section on Nonparametric Statistics
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| Abstract - #308137 |
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Title:
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Optimal Sign Test for One Sample Bivariate Location Model Using an Alternative Bivariate Ranked Set Sample
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Author(s):
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Hani Samawi*+
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Companies:
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Georgia Southern University
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Address:
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Department of Mathematical Sciences, Statesboro, CA, 30640,
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Keywords:
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Bivariate Ranked Set Sample ; Location Model ; Median Ranked Set Sample ; Pitman efficiencies ; Sign Test
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Abstract:
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The aim of this paper is to find optimal alternatives bivariate ranked set sample for one sample location model bivariate sign test. Our numerical and theoretical results indicated that the optimal designs for bivariate sign test are the alternative designs with quantifying order statistics with labels [(r+1)/2, (r+1)/2] when the set size r is odd and {[(r/2)+1, r/2], [r/2, (r/2)+1]} when the set size r is even. The asymptotic distribution and Pitman efficiencies of those designs are derived. Simulation study is conducted to investigate the power of the proposed optimal designs. Illustration using real data with Bootstrap algorithm for P-value estimation is used.
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